Find the coordinates of the focus and the equation of the directrix for each parabola. Draw the parabola, its focus and directrix. x²=10y

Here is the graph of the parabola \(x^2 = 10y\), along with its focus at \((0, 2.5)\) (marked by a red dot) and the directrix, which is the green dashed line at \(y = -2.5\).

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### Related Questions:
1. How do we find the vertex of a general parabola?
2. How would the focus and directrix change if the parabola was horizontally oriented?
3. What is the role of the parameter \(p\) in determining the shape of a parabola?
4. How can we derive the equation of a parabola given its focus and directrix?
5. What happens to the graph if we change the equation to \(x^2 = -10y\)?

**Tip**: When graphing parabolas, always check whether the axis of symmetry is vertical or horizontal based on the squared term.

Explore how to find the focus and the equation of the directrix for the parabola x²=10y. Includes step-by-step calculations, graph representation, and key concepts from conic sections. Ideal for students in Grades 9-11.

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